Using Multiplicative Inverses

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Name ___________________________________
Date ________________________
COURSE: MSC IV
MODULE 1: Fractions
UNIT 4: Dividing Fractions
Using Multiplicative Inverses
As you work through the tutorial, complete the following
statements and questions.
1. What improper fraction is equivalent to 7 ? __________________
Key Words:
Fraction
Division
2. Dividing by 3 is the same as multiplying by __________________ .
3. This means that dividing by
is the same as __________ by
.
4. Dividing a number by a fraction is the same as multiplying the
number by the multiplicative inverse of the __________ .
5. The multiplicative inverse is another name for the ______________ .
6. What is the multiplicative inverse of
? _______________________
7. The product of any non-zero number and its reciprocal is _______ .
8. What is 7
⫼
expressed as a mixed number? _______________
9. Why was the answer in problem 8 not reasonable for making
timber crossties? __________________________________________
_________________________________________________________
Divisor
Quotient
Multiplicative
inverse
Reciprocal
Learning
Objectives:
• Finding the
multiplicative
inverse, or
reciprocal, of a
number
• Dividing two
fractions by
multiplying the
dividend by the
multiplicative
inverse of the
divisor
• Interpreting an
answer so that it
satisfies a
condition of the
problem
© Riverdeep, Inc.
_________________________________________________________
Dividend
Destination
Math
33
Name ___________________________________
Date ________________________
COURSE: MSC IV
MODULE 1: Fractions
UNIT 4: Dividing Fractions
Using Multiplicative Inverses
1. What is the multiplicative inverse of
2. What is the reciprocal of
3. Dividing by
? _________
? _________
is the same as multiplying by _________ .
4. What is the product of a non-zero number and its reciprocal?
_________
5. What is the only number that has the same value as its reciprocal?
_________
6. Rewrite 7 ⫼ as a multiplication problem. ____________________
? _________________________________
7. What is 3 ⫼
8. What is 3 ⫼
written as an improper fraction in simplest form?
__________________________________________________________
9. a. Chip wants to cut a 6-foot board into pieces that are 1
long. How many whole 1
feet
- foot pieces can he cut from one
board? Show your work.
© Riverdeep, Inc.
b. How many feet of the 6-foot board are left over? _________
Destination
Math
34
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